Will take time out of working on my Materials Science Lab report to help
Q1: Likely 4 and 9. Water, albiet a weak base, can nontheless lose a H+ without too much hassle, and the Hydrochloric Acid, being one of the so-called "strong acids" is more than happy to lose a proton.
Q2: 3, 5, 6. In terms of accepting lone pairs, a metal cation and a carbocation are prime subjects. Not too sure about Aluminum Trichloride, but like Boron, I'm guessing it can easily accept a lone pair.
Q3: 1, 6, 7. Out of the four carbon species in the list, the only one that ISN'T electrophilic (electron-loving) is 2. So, 1, 6, 7.
Q4: 2, 4, 8, 9, 10. All chosen because they have a lone pair, the main requirement for being a nucleophile. Not necessarily a GOOD nucleophile, but can be.
Q5&6: Hard to answer. Usually when a prof asks this they expect you to find a nucleophile that ISN'T a lewis base or an electrophile that ISN'T a lewis acid. I'd go for T T if I were you.
Edit: Not saying ANY of these answers are right. Just...my best go at it.